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| 1 | +// Copyright 2025 International Digital Economy Academy |
| 2 | +// |
| 3 | +// Licensed under the Apache License, Version 2.0 (the "License"); |
| 4 | +// you may not use this file except in compliance with the License. |
| 5 | +// You may obtain a copy of the License at |
| 6 | +// |
| 7 | +// http://www.apache.org/licenses/LICENSE-2.0 |
| 8 | +// |
| 9 | +// Unless required by applicable law or agreed to in writing, software |
| 10 | +// distributed under the License is distributed on an "AS IS" BASIS, |
| 11 | +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 12 | +// See the License for the specific language governing permissions and |
| 13 | +// limitations under the License. |
| 14 | + |
| 15 | +///| |
| 16 | +test "atan2 - zero with x = 0" { |
| 17 | + inspect!(1.0.atan2(0.0), content="1.5707963267948966") |
| 18 | + inspect!((-1.0).atan2(0.0), content="-1.5707963267948966") |
| 19 | +} |
| 20 | + |
| 21 | +///| |
| 22 | +test "kernel_sin with iy=0" { |
| 23 | + // The line `x + v * (s1 + z * r)` in __kernel_sin function |
| 24 | + // is returned when iy == 0 |
| 25 | + // We need to provide input x that enters this branch |
| 26 | + let x = 3.141592653589793 / 4.0 |
| 27 | + inspect!(@double.sin(x), content="0.7071067811865475") |
| 28 | +} |
| 29 | + |
| 30 | +///| |
| 31 | +test "asin edge case 1" { |
| 32 | + // Test case for x slightly less than 1 (ix >= 0x3FEF3333) |
| 33 | + let x = 0.999999 |
| 34 | + inspect!(@double.asin(x), content="1.5693821131146521") |
| 35 | +} |
| 36 | + |
| 37 | +///| |
| 38 | +test "atan2 quadrant case" { |
| 39 | + // Different quadrants |
| 40 | + inspect!((-1.0).atan2(1.0), content="-0.7853981633974483") // quadrant 4 |
| 41 | + inspect!((-1.0).atan2(-1.0), content="-2.356194490192345") // quadrant 3 |
| 42 | + inspect!(1.0.atan2(-1.0), content="2.356194490192345") // quadrant 2 |
| 43 | +} |
| 44 | + |
| 45 | +///| |
| 46 | +test "atan of small values" { |
| 47 | + let tiny = 1.0e-300 // A value small enough that ix < 0x3e200000 and huge + self > one |
| 48 | + let result = @double.atan(tiny) |
| 49 | + inspect!(result, content="1e-300") |
| 50 | + let very_tiny = 1.0e-500 // Another small value to ensure multiple test cases for the same branch |
| 51 | + let result2 = @double.atan(very_tiny) |
| 52 | + inspect!(result2, content="0") |
| 53 | +} |
| 54 | + |
| 55 | +///| |
| 56 | +test "atan2 infinite x case" { |
| 57 | + let y = 1.0 |
| 58 | + inspect!(y.atan2(@double.infinity), content="0") |
| 59 | + inspect!((-y).atan2(@double.infinity), content="0") |
| 60 | + let b = (-y).atan2(@double.neg_infinity) |
| 61 | + inspect!(b, content="-3.141592653589793") |
| 62 | +} |
| 63 | + |
| 64 | +///| |
| 65 | +test "atan2 for zero and infinity cases" { |
| 66 | + let zero = 0.0 |
| 67 | + let pos_zero = 0.0 |
| 68 | + let neg_zero = -0.0 // this triggers special case 0 | 1 |
| 69 | + inspect!(neg_zero.atan2(pos_zero), content="0") |
| 70 | + inspect!(neg_zero.atan2(-1.0), content="-3.141592653589793") |
| 71 | + let inf = @double.infinity |
| 72 | + inspect!(zero.atan2(inf), content="0") |
| 73 | + inspect!(zero.atan2(-inf), content="3.141592653589793") |
| 74 | +} |
| 75 | + |
| 76 | +///| |
| 77 | +test "atan2_large_diff" { |
| 78 | + // k > 60 |
| 79 | + let y = 1.0e100 |
| 80 | + let x = 0.1 |
| 81 | + inspect!(y.atan2(x), content="1.5707963267948966") |
| 82 | +} |
| 83 | + |
| 84 | +///| |
| 85 | +test "atan2_negative_z" { |
| 86 | + // m = 1 |
| 87 | + let y = -1.0 |
| 88 | + let x = 2.0 |
| 89 | + inspect!(y.atan2(x), content="-0.4636476090008061") |
| 90 | +} |
| 91 | + |
| 92 | +///| |
| 93 | +test "atan2_large_negative_x" { |
| 94 | + // hx < 0 && k < -60 |
| 95 | + let y = 0.1 |
| 96 | + let x = -1.0e100 |
| 97 | + inspect!(y.atan2(x), content="3.141592653589793") |
| 98 | +} |
| 99 | + |
| 100 | +///| |
| 101 | +test "kernal_tan edge case" { |
| 102 | + let x = 1.5707963267948966 |
| 103 | + inspect!(x.tan(), content="16331239353195370") |
| 104 | + let x = -1.5707963267948966 |
| 105 | + inspect!(x.tan(), content="-16331239353195370") |
| 106 | +} |
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